Evaluate
12-5\sqrt{6}\approx -0.247448714
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6-3\sqrt{6}-2\sqrt{6}+\left(\sqrt{6}\right)^{2}
Apply the distributive property by multiplying each term of 3-\sqrt{6} by each term of 2-\sqrt{6}.
6-5\sqrt{6}+\left(\sqrt{6}\right)^{2}
Combine -3\sqrt{6} and -2\sqrt{6} to get -5\sqrt{6}.
6-5\sqrt{6}+6
The square of \sqrt{6} is 6.
12-5\sqrt{6}
Add 6 and 6 to get 12.
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